L2S - Laboratoire des signaux et systèmes : 1289, IUF - Institut Universitaire de France : 56663, LTCI - Laboratoire Traitement et Communication de l'Information : 162010
Abstract : This paper addresses the problem of evaluating a subset of the range of a vector-valued function. It is based on a work by Goldsztejn and Jaulin which provides methods based on interval analysis to address this problem when the dimension of the domain and co-domain of the function are equal. This paper extends this result to vector-valued functions with domain and co-domain of different dimensions. This extension requires the knowledge of the rank of the Jacobian function on the whole domain. This leads to the sub-problem of extracting an interval sub-matrix of maximum rank from a given interval matrix. Three different techniques leading to approximate solutions of this extraction are proposed and compared.
https://hal-supelec.archives-ouvertes.fr/hal-00935773
Contributeur : Michel Kieffer
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Soumis le : vendredi 24 janvier 2014 - 09:53:40
Dernière modification le : jeudi 5 avril 2018 - 12:30:24
Document(s) archivé(s) le : jeudi 24 avril 2014 - 22:15:46
